HW09
Assigned:       FRI 04 APR
Due:               FRI 11 APR


Problem 1.   Barton Problem 9.1, p.223. Plot the result psi[x,t]  in (i) as a single plot from x=0 to x=π for A=D=1 and nmax=10 and t=0.01, 0.1, 1.0, 10, and 100. On the same graph plot the function 1–x/π and interpret the results.

Problem 2.   Barton Problem 9.2, p.223. Plot the result psi[x,t] in (i) as a single plot from x=0 to x=π for B=D=1 and nmax=10 and t=0.01, 0.1, 1.0, 10, and 100. On the same graph plot the asymptotic function psi[x,t] from part (ii) and interpret the results.

Problem 3.   Barton Problem 9.3, p.224. Plot the result psi[x,t] in (i) as a single plot from x=0 to x=π for B=D=1 and nmax=10 and t=0.01, 0.1, 1.0, 10, and 100. On the same graph plot the asymptotic function psi[x,t] from part (iii) and interpret the results.

Problem 4.  Barton Problem  9.4, p.224. Plot the result psi[x,t] in (ii) as a single plot from x=0 to x=π for B=D=1 and nmax=10 and t=0.01, 0.1, 1.0, 10, and 100.

Problem 5.   Barton Problem 9.5, p.225.

Problem 6.   Barton Problem 9.6, p.225.